de
en
Close
Detailsuche
Bibliotheken
Projekt
Imprint
Privacy Policy
jump to main content
Search Details
Quicksearch:
OK
Title
Title
Content
Content
Page
Page
Search the document
Baryon resonances on the lattice : the P-wave nucleon-pion scattering amplitude in the Δ (1232) channel / by Gorgio Silvi, M.Sc. Wuppertal, 2021
Content
Leere Seite
ABSTRACT
Abstract
ACKNOWLEDGMENT
Acknowledgments
LIST OF TABLES
LIST OF FIGURES
Dedication Page
1 Introduction
1.1 QCD
1.2 Lattice formulation
1.3 Fields on the lattice
1.3.1 Gauge fields: Wilson gauge action
1.3.2 Fermion fields
1.4 Improvements
1.4.1 Symanzik gauge action
1.4.2 Clover-improved Wilson fermion
2 Resonances
2.1 The delta(1232) baryon resonace
2.2 Quantum mechanical scattering
2.3 Partial waves and S-matrix
2.4 Pole structure
2.5 K-matrix parametrization
3 Hadron Spectroscopy on the lattice
3.1 Interpolating operators
3.1.1 Pion
3.1.2 Nucleon
3.1.3 Delta
3.2 Spin on the lattice
3.2.1 Spin-J rotations matrices
3.2.2 Matrix elements of irreducible representations
3.3 Projection method
3.3.1 Single operator
3.3.2 Two-hadron operator
4 Quantization condition
4.1 Two particles in a box
4.1.1 Non-Interacting case
4.1.2 Interacting case
4.1.3 Solutions to the Helmholtz equation
4.1.4 Particles with spin
4.2 Symmetries of the zeta function
4.2.1 Irrep Basis for quantization condition
4.3 Reduced matrices and quantization conditions
5 Results
5.1 Contractions and spectra analysis
5.2 Spectra results: Single Hadron
5.2.1 Pion
5.2.2 Nucleon
5.3 Spectra results
5.3.1 Group: OhD , Irrep: G1u
5.3.2 Group: OhD , Irrep: Hg
5.3.3 Group: C4vD , Irrep: G1
5.3.4 Group: C4vD , Irrep: G2
5.3.5 Group: C2vD , Irrep: (2)G
5.3.6 Group: C3vD , Irrep: G
5.3.7 Group: C3vD , Irrep: F1,F2
5.4 Results for the scattering amplitudes
5.4.1 Phase shift fit procedure and results
5.5 Discussion and Conclusions
6 Roberge-Weiss endpoint and chiral symmetry restoration in Nf=2+1 QCD
6.1 Numerical Setup
6.2 Finite size scaling analysis and order of the transition
6.3 Discussion and Conclusions
7 Conclusions
REFERENCES
Appendix
A Gamma matrices
B Additional tables